Quasiexcellence implies strong generation

DOI10.1515/crelle-2021-0034zbMath1475.14030arXiv2009.02013OpenAlexW3194896759MaRDI QIDQ2054206

Ko Aoki

Publication date: 1 December 2021

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.02013

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Derived categories, triangulated categories (18G80) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Cites Work

• Ideals in triangulated categories: Phantoms, ghosts and skeleta
• Strong generators in \(\mathbf{D}^{\mathrm{perf}}(X)\) and \(\mathbf{D}^b_{\mathrm{coh}}(X)\)
• Projectivity of the Witt vector affine Grassmannian
• The Galois group of a stable homotopy theory
• Annihilation of Cohomology and Strong Generation of Module Categories
• Separable extensions in tensor-triangular geometry and generalized Quillen stratification
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